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Finding the Fourth Proportional to 977.28, 1,348.65 and 579.03

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Solution

The fourth proportional to 977.28, 1,348.65 and 579.03 is: 799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.28 : 1,348.65 = 579.03 : x
  2. Step 2: Convert to fraction form
    977.28/1,348.65 = 579.03/x
  3. Step 3: Cross multiply
    977.28x = 1,348.65 × 579.03
  4. Step 4: Simplify right side
    977.28x = 780,908.81
  5. Step 5: Solve for x
    x = 780,908.81/977.28
  6. Step 6: Final answer
    x = 799.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.